Finding the Fourth Proportional to 1,509.86, 2,083.61 and 846.72

Step by Step Solution

1. Step 1: Write the proportion equation
   1,509.86 : 2,083.61 = 846.72 : x
2. Step 2: Convert to fraction form
   1,509.86/2,083.61 = 846.72/x
3. Step 3: Cross multiply
   1,509.86x = 2,083.61 × 846.72
4. Step 4: Simplify right side
   1,509.86x = 1,764,236.38
5. Step 5: Solve for x
   x = 1,764,236.38/1,509.86
6. Step 6: Final answer
   x = 1,168.47